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Finding the Fourth Proportional to 198,271.53, 297,344.32 and 65,120.79

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Solution

The fourth proportional to 198,271.53, 297,344.32 and 65,120.79 is: 97,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,271.53 : 297,344.32 = 65,120.79 : x
  2. Step 2: Convert to fraction form
    198,271.53/297,344.32 = 65,120.79/x
  3. Step 3: Cross multiply
    198,271.53x = 297,344.32 × 65,120.79
  4. Step 4: Simplify right side
    198,271.53x = 19,363,297,972.65
  5. Step 5: Solve for x
    x = 19,363,297,972.65/198,271.53
  6. Step 6: Final answer
    x = 97,660.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.